Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF BATANGAS CITY BANABA WEST INTEGRATED SCHOOL BANABA WEST, BATANGAS CITY Summative Test in Pre-Calculus FIRST SEMESTER SY 2021-2022 Name: __________________________________ Date: ________________ Section: _________________________________ GENERAL DIRECTIONS: READ AND UNDERSTAND ITEMS CAREFULLY AND FOLLOW GIVEN DIRECTIONS. I. MULTIPLE CHOICE Directions: Write your answer on the space provided before each number. _____1. Which of the following is the standard form of the equation of a circle with center at (h,k) and radius r > 0? A. C. B. D. _____2. What is the equation of parabola with vertex at the origin and the axis of symmetry is parallel to the x-axis? A. C. B. D. _____3-4. The equation written in standard form is ________. A. C. B. D. _____5. Which of the following is the standard form of the equation of an ellipse with vertex at the origin? A. B. C. D. _____6. Which of the following represents the standard equation of a hyperbola? A. B. C. D. 2 2 6 x +12 x +6 y −8 y=100 _____7. The equation is an example of a/an __________. A. circle B. parabola C. ellipse D. hyperbola Address: Banaba West, Batangas City Contact Number: (043) 724-6177 Email: [email protected]
Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF BATANGAS CITY BANABA WEST INTEGRATED SCHOOL BANABA WEST, BATANGAS CITY 2 2 _____8. The equation 4 x +12 x+ y −8 y=64 is an example of a/an ___________. A. circle B. parabola C. ellipse D. hyperbola 2 2 x y − =1 _____9. The equation 4 25 has a major axis of length ___________. A. 2 B. 3 C. 4 D.5 ( x +3 )2 ( y −2 )2 − =1 For numbers 10-13: Use 9 4 to answer the next 4 questions. _____10. The center is at ________? A. (-3, -2) B (-3, 2) C. (3, 2) D. (3, -2) _____11-12. The vertices are_____________? A. (0, 2), (-6, 2) B. (-3, 5), (-3, -1) C. (-1, 2), (-5, 2) D. (-3,4), (3,0) _____13-14. The foci are at _______________? A. (−3±√7 , 2 ) B. (−3±√ 13 , 2 ) C. (−3, 2± √ 13 ) D _____15-17. The length of the major axis is ___________? A. 3 units B. 6 units C. 9 units D. 12 units _____18. The following represents a series EXCEPT: A. Sum of the first natural numbers C. 2, 4, 6, 8, 10 B. D. -2+4-6+8-10 _____19. The common difference of is _________. A. B. C. 4 D. 8 _____19. The 100th term of is _________. A. -14 B.-24 C. 14 D. 24 _____20-22. If and , find A. 319/3 B. 295/3 C. 187/3 D. 67/3 _____23-25. Given: and , find : A. -981018 B. -101898 C. -181098 D. -118098 II. IDENTIFICATION Directions: Write A if the given sequence is arithmetic or G if it is geometric. Fill the missing number in each sequence. Arithmetic or Sequence Geometric 26-27 4, 7, 10, ______, 16, … Address: Banaba West, Batangas City Contact Number: (043) 724-6177 Email: [email protected]
Republic of the Philippines Department of Education REGION IV-A CALABARZON SCHOOLS DIVISION OF BATANGAS CITY BANABA WEST INTEGRATED SCHOOL BANABA WEST, BATANGAS CITY 28-29 1, ______, 9, 27, 81, … 30-31 ______, -5.5, -9.5, -13.5, … 32-33 -4, 8, -16, 32, -64, _______, … III. APPLICATION Directions: Solve the following problems and write your final answer in the space provided in each item. Show your complete solution in a separate sheet of paper and once you are done answering the test, take a picture or scan your solution then upload to your google classroom. 34-35. Evaluate the sum: Answer: ____________________ 36-38. Evaluate: Answer: ____________________ 39-40. Determine the number of terms of an arithmetic series having the first term of 19, last term of 96 and with a sum of 690. Answer: ____________________ 41-42. Determine the number of terms of a geometric series having the first term of 3, common ratio of -3 and with a sum of -60. Answer: ____________________ 43-44. Determine the sum of all the positive even integers less than 2021. Answer: ____________________ 45-47. BWIS Company 1 offers T-Jay a starting salary of Php 50,000 plus a guaranteed pay of Php 5,000 each year. What is the total amount of money T-Jay will have earned after working for 25 years? Answer: ____________________ 48-50. BWIS Company 2 offers T-Jay a starting salary of Php 50,000 plus a guaranteed pay increase of 5% each year. What is the total amount of money T-Jay will have earned after working for 25 years? Answer: ____________________ Address: Banaba West, Batangas City Contact Number: (043) 724-6177 Email: [email protected]